Araştırma Makalesi
BibTex RIS Kaynak Göster

An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)

Yıl 2020, Cilt: 5 Sayı: 3, 199 - 207, 30.12.2020

İrem Bağlan Timur Canel

Öz

.In this research, we consider a coefficient problem of an inverse problem of a quasilinear pseudo-parabolic
equation with periodic boundary condition. It proved the existence, uniqueness and continuously dependence upon
the data of the solution by iteration method.

Anahtar Kelimeler

Quasilinear Pseudo-Parabolic Equation inverse problem Fourier method

Kaynakça

  • [1] Cannon J,R., Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,4:595-606.
  • [2] Pourgholia R, Rostamiana M and Emamjome M., A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems inScience and Engineering, 2010, 18(8):1151-1164.
  • [3] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditionsusing homotopy Perturbation method.Jour. of App.Com. Sci,2012; vol.1:12-16.
  • [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
  • [5] E. Set, A.O. Akdemir, B. Çelik, On Generalization of Fejér Type Inequalities via fractional integral opera-tor,2018, Filomat, Vol 32: Issue 16.
  • [6] A.O. Akdemir, E. Set and A. Ekinci, On new conformable fractional integral inequalities for product ofdi¤erent kinds of convexity, TWMSJournal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
  • [7] A. ERGÜN, "The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", TurkishJournal of Science, Volume 5, Issue 2, 73-84, 2020.
  • [8] A. Ergün and R. Amirov, “Direct and Inverse problems for diffusion operator with discontinuıty points,” Journal of Applied and EngineeringMathematics, vol. 9, no. 1, pp. 9–21, Jan. 2019.
  • [9] A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions,” Cumhuriyet Science Journal,vol. 39, no. 4, pp. 842–863, Jul. 2018.
  • [10] Kanca F.,Baglan I.,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary ValueProblems , 2013, V.213.
  • [11] Kanca F.,Baglan I.,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journalof inequalities and applications, 2014, V.76.

Yıl 2020, Cilt: 5 Sayı: 3, 199 - 207, 30.12.2020

İrem Bağlan Timur Canel

Öz

Kaynakça

  • [1] Cannon J,R., Lin Y., Determination of parameter p(t) in Hölder classes for some semilinear parabolic equations. Inverse Problems, 1988,4:595-606.
  • [2] Pourgholia R, Rostamiana M and Emamjome M., A numerical method for solving a nonlinear inverse parabolic problem. Inverse Problems inScience and Engineering, 2010, 18(8):1151-1164.
  • [3] P.R.Sharma , G. Methi, Solution of two dimensional parabolic equation subject to Non-local conditionsusing homotopy Perturbation method.Jour. of App.Com. Sci,2012; vol.1:12-16.
  • [4] M. Dehghan,Identifying a control function in two dimensional parabolic inverse problems. Applied Mathematics and Computation,2003; vol.143 (2): 375-391.
  • [5] E. Set, A.O. Akdemir, B. Çelik, On Generalization of Fejér Type Inequalities via fractional integral opera-tor,2018, Filomat, Vol 32: Issue 16.
  • [6] A.O. Akdemir, E. Set and A. Ekinci, On new conformable fractional integral inequalities for product ofdi¤erent kinds of convexity, TWMSJournal of Applied and Engineering Mathematics,2019, Vol 9, Issue 1,142-150.
  • [7] A. ERGÜN, "The Multiplicity of Eigenvalues of a Vectorial Diffusion Equations with Discontinuous Function Inside A Finite Interval", TurkishJournal of Science, Volume 5, Issue 2, 73-84, 2020.
  • [8] A. Ergün and R. Amirov, “Direct and Inverse problems for diffusion operator with discontinuıty points,” Journal of Applied and EngineeringMathematics, vol. 9, no. 1, pp. 9–21, Jan. 2019.
  • [9] A. Ergün, “Integral Representation for Solution of Discontinuous Diffusion Operator with Jump Conditions,” Cumhuriyet Science Journal,vol. 39, no. 4, pp. 842–863, Jul. 2018.
  • [10] Kanca F.,Baglan I.,An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions, Boundary ValueProblems , 2013, V.213.
  • [11] Kanca F.,Baglan I.,An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions, Journalof inequalities and applications, 2014, V.76.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Volume V Issue III 2020
Yazarlar

İrem Bağlan

Timur Canel

Yayımlanma Tarihi 30 Aralık 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 5 Sayı: 3

Kaynak Göster

APA Bağlan, İ., & Canel, T. (2020). An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science, 5(3), 199-207.
AMA Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. Aralık 2020;5(3):199-207.
Chicago Bağlan, İrem, ve Timur Canel. “An Inverse Coefficient Problem for Quasilinear Pseudo-Parabolic of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science 5, sy. 3 (Aralık 2020): 199-207.
EndNote Bağlan İ, Canel T (01 Aralık 2020) An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). Turkish Journal of Science 5 3 199–207.
IEEE İ. Bağlan ve T. Canel, “An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA)”, TJOS, c. 5, sy. 3, ss. 199–207, 2020.
ISNAD Bağlan, İrem - Canel, Timur. “An Inverse Coefficient Problem for Quasilinear Pseudo-Parabolic of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science 5/3 (Aralık 2020), 199-207.
JAMA Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5:199–207.
MLA Bağlan, İrem ve Timur Canel. “An Inverse Coefficient Problem for Quasilinear Pseudo-Parabolic of Heat Conduction of Poly(methyl Methacrylate) (PMMA)”. Turkish Journal of Science, c. 5, sy. 3, 2020, ss. 199-07.
Vancouver Bağlan İ, Canel T. An inverse coefficient problem for quasilinear pseudo-parabolic of heat conduction of Poly(methyl methacrylate) (PMMA). TJOS. 2020;5(3):199-207.
 Kapak Resmi İndir